247964832 has 72 divisors (see below), whose sum is σ = 721584864. Its totient is φ = 80728704.

The previous prime is 247964803. The next prime is 247964837. The reversal of 247964832 is 238469742.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×247964832² = 122973115817576448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (247964837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2373 + ... + 22395.

It is an arithmetic number, because the mean of its divisors is an integer number (10022012).

Almost surely, 2^247964832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247964832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360792432).

247964832 is an abundant number, since it is smaller than the sum of its proper divisors (473620032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247964832 is a wasteful number, since it uses less digits than its factorization.

247964832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20082 (or 20071 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 247964832 is about 15746.8991233195. The cubic root of 247964832 is about 628.2464312048.

The spelling of 247964832 in words is "two hundred forty-seven million, nine hundred sixty-four thousand, eight hundred thirty-two".